Fredholm boundary-value problem in Sobolev – Slobodetsky spaces
UDC 517.927 We investigate the most general class of linear one-dimensional boundary value problems whose solutions range over a given Sobolev – Slobodetsky space. We find necessary and sufficient conditions for the unique solvability of such problems and prove a criterion of continuity of their sol...
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| Date: | 2021 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6684 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.927
We investigate the most general class of linear one-dimensional boundary value problems whose solutions range over a given Sobolev – Slobodetsky space. We find necessary and sufficient conditions for the unique solvability of such problems and prove a criterion of continuity of their solutions with respect to a parameter in this space. |
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| DOI: | 10.37863/umzh.v73i7.6684 |